{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "1D_Pressure_Diffusion_Numerical_Solution",
      "provenance": [],
      "collapsed_sections": [],
      "authorship_tag": "ABX9TyOREd5IxPGmHjiYB8wXQDtb",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/Divyanshu-ISM/Oil-and-Gas-data-analysis/blob/master/1D_Pressure_Diffusion_Numerical_Solution.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "b5tPaOu639Ob",
        "colab_type": "text"
      },
      "source": [
        "#Numerical Solution of the 1D diffusivity Equation in an infinite domain. \n",
        "\n",
        "## Note that The P(x--> oo , t) Remains constant. Hence Infinite Acting. \n",
        "\n",
        "## Check for how fast and further the transient travels in a higher diffusivity (ex. higher perm) reservoir. \n",
        "\n",
        "\n",
        "Author : Divyanshu Vyas\n",
        "\n",
        "Interests : Petroleum/Oil & Gas | Reservoir Engg. | Data Science/ML\n",
        "\n",
        "Email : dvyas13ad@gmail.com"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "8YgPz30dcXAX",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "import numpy as np\n",
        "import math\n",
        "import matplotlib.pyplot as plt\n",
        "%matplotlib inline\n",
        "\n",
        "import pylab as pl\n",
        "from IPython import display\n",
        "import time"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "-COoXrQfc--C",
        "colab_type": "text"
      },
      "source": [
        "# $ \\frac {\\partial^2 P} {\\partial x^2} = 1/\\eta \\frac {\\partial P} {\\partial t} $\n",
        "\n",
        "# $ \\frac {\\partial^2 P} {\\partial x^2} - 1/\\eta \\frac {\\partial P} {\\partial t} = 0 $\n",
        "\n",
        "# $ [\\frac {\\partial^2 } {\\partial x^2} - 1/\\eta \\frac {\\partial } {\\partial t} ] [P] = [0] $"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "39pUet1B38Nz",
        "colab_type": "text"
      },
      "source": [
        ""
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "_G8U7xwUvNE3",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "# at x = 0 well is there q = KA/u * (-Pi+1 + P0)/dx\n",
        "\n",
        "# P1 + qudx/kA"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "43Yx7Df4c7yi",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 707
        },
        "outputId": "e18377a9-3073-45fc-b6fc-5891fc939f66"
      },
      "source": [
        "k_md = 50\n",
        "k_m2 = k_md*0.987E-15\n",
        "\n",
        "\n",
        "phi = 0.25\n",
        "\n",
        "\n",
        "ct_psi = 1E-03\n",
        "ct_pa = ct_psi*14.7/101325\n",
        "\n",
        "\n",
        "Mu_cp=3\n",
        "Mu_Pas=Mu_cp*10**(-3)\n",
        "\n",
        "diffusivity=k_m2/phi/Mu_Pas/ct_pa\n",
        "\n",
        "q = 5 #bbls/day\n",
        "q_m3persec = q/6.29/(24*60*60)\n",
        "\n",
        "A = 5000 #m2\n",
        "\n",
        "alpha = q_m3persec*Mu_Pas/(k_m2*A)\n",
        "\n",
        "\n",
        "L = 10 #m\n",
        "\n",
        "n = 100\n",
        "\n",
        "dx = L/n\n",
        "\n",
        "x = np.arange(dx/2,10, dx)\n",
        "\n",
        "\n",
        "dt = 2\n",
        "t = np.arange(0,181,dt)\n",
        "\n",
        "beta1 = diffusivity*dt/dx**2\n",
        "\n",
        "m = int(input('Enter The order you want to increase diffusivity with: '))\n",
        "beta2 = m*beta1\n",
        "\n",
        "\n",
        "P1 = np.ones(len(x))\n",
        "P2 = np.ones(len(x))\n",
        "\n",
        "Pi = 205\n",
        "pw = 175  #pa\n",
        "\n",
        "P1 = np.ones(len(x))*Pi\n",
        "P2 = np.ones(len(x))*Pi\n",
        "\n",
        "\n",
        "\n",
        "ax1 = plt.figure(figsize=(12,5))\n",
        "plt.grid()\n",
        "plt.style.use('fivethirtyeight')\n",
        "\n",
        "# P1 = np.zeros(len(x))\n",
        "\n",
        "\n",
        "for j in range(1,len(t)):\n",
        "\n",
        "  plt.clf()\n",
        "\n",
        "  for i in range(1,n-1):\n",
        "\n",
        "    P1[i] = P1[i] + beta1*(P1[i+1] - 2*P1[i] + P1[i-1])\n",
        "\n",
        "    P2[i] = P2[i] + beta2*(P2[i+1] - 2*P2[i] + P2[i-1])\n",
        "  \n",
        "  P1[0] = 175\n",
        "  P1[n-1] = 205\n",
        "\n",
        "\n",
        "  P2[0] = 175\n",
        "  P2[n-1] = 205\n",
        "\n",
        "\n",
        "  \n",
        "\n",
        "\n",
        "  \n",
        "\n",
        "  \n",
        "\n",
        "  plt.plot(x,P1,label='beta1 (lower diffusivity)')\n",
        "  plt.plot(x,P2,label='beta2 (higher diffusivity)')\n",
        "\n",
        "  plt.xlabel('distance from the well, metres')\n",
        "  plt.ylabel('Pressure in the reservoir, Pa')\n",
        "\n",
        "  plt.legend(loc='best')\n",
        "\n",
        "\n",
        "\n",
        "  display.clear_output(wait=True)\n",
        "  display.display(pl.gcf())\n",
        "  time.sleep(1.0)\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n",
        "\n"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 864x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 864x360 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "OWobuPj4u4Qq",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    }
  ]
}